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Finding the Fourth Proportional to 9,356.85, 12,912.75 and 5,378.94

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Solution

The fourth proportional to 9,356.85, 12,912.75 and 5,378.94 is: 7,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.85 : 12,912.75 = 5,378.94 : x
  2. Step 2: Convert to fraction form
    9,356.85/12,912.75 = 5,378.94/x
  3. Step 3: Cross multiply
    9,356.85x = 12,912.75 × 5,378.94
  4. Step 4: Simplify right side
    9,356.85x = 69,456,907.49
  5. Step 5: Solve for x
    x = 69,456,907.49/9,356.85
  6. Step 6: Final answer
    x = 7,423.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.